Math 0995 Review

Test 1 Material

100

The factors of 24

What are 1,2,3,4,6,8,12,24?

200

Solve 49^-1/2

What is 1/7?

300

Simplify (3a⁴/9ab⁵)².

What is a⁶/9b¹⁰?

400

Multiply the polynomial and simplify the product of (x³-5)(5x+3).

What is 5x⁴+3x³-25x-15

500

Simplify the expression. (-1-2)² / 3 + 6² - 2 x 3³.

What is -15?

Test 2 Material

100

Factor the polynomial 2x²-72.

What is 2(x-6)(x+6)?

200

Simplify the expression -2 sqrt(125) + 3 sqrt(180). Reminder: Haylee will rewrite this on the board. 

What is 8 sqrt(5)?

300

Simplify the rational expression: (6x²-18x) / (2x²-12x+18). Reminder: Haylee will rewrite this one on the board. 

What is 3x / (x-3)?

400

Evaluate log₃(1/243)

What is -5?

500

Factor by grouping: 5xy - 15x - 6y + 18.

What is (5x-6)(y-3)?

Test 3 Material

100

Solve the equation -8k(2k-1)(k+3)=0.

What is {-3, 0, 1/2}?

200

Solve the equation sqrt(2x-3) - x = -3.

What is x=6?

300

Solve the equation (n+4)(n-4)=4n

What is {-3,12}?

400

Solve the equation 3x²-x=14.

What is {-2, 7/3}?

500

Solve the equation 3/(x+3)=(12x+19)/(x²+7x+12) - 5/(x+4). Reminder: Haylee will rewrite this on the board.

What is x=2?

After Test 3 Material

100

Solve the inequality, 6+|4x-1|<9 and give your answer in interval notation. 

What is (-1/2, 1)?

200

Give 3 lines that are parallel to the following line: 4y-8x=2

What is y=2x+b?

300

Write the equation of a line in slope-intercept form that passes through (2,11) and (-1,2). 

What is y=3x+5?

400

Solve the following system: 2x - 3y=-11 and y=4x-3.

What is x=2 and y=5?

500

Solve the system: y=x + 3 and 3x = 2y - 6

What is x=0 and y=3?

Miscellaneous

100

Find the x-intercept of the following equation: 2x-5y=16

What is x=8?

200

Factor 36a² - 12ab + b².

What is (6a-b)²?

300

Solve. (3/10)p-(1/5)=-2. Reminder: Haylee will rewrite this question. 

What is p= -6?

400

Simplify the expression (-2xy^-3)^-3/-2(xy^-1)^-1. Reminder: Haylee will rewrite this on the board. 

What is y⁸ / 16x²?